Answer:
x=12
Step-by-step explanation:
we know that
If the two chords are equidistant from the center of the circle, then the chords must be congruent.
so
JK=LM
substitute the given values

solve for x

Answer:
(4, -1) is not a solution to the system
Step-by-step explanation:
The first point: (4,-1) doesn't satisfy the first inequality:

since we get to an absurd, because -1 cannot be strictly smaller than -1!
Answer:
x= -2
Step-by-step explanation:
2(-2)+5(-2)= -4+-10= -14
Pakal triangle is hard to do with long things, but it is easy up to like 5 degree
we look at the row for 5th degree (6th row)
the sequence is
1,5,10,10,5,1
that is the coeficients
for (a+b)^5 that is
1a^5b^0+5a^4b^1+10a^3b^2+10a^2b^3+5a^1b^4+1a^0b^5
see the exponents each time add to 5
so
1x^5(-5)^0+5x^4(-5)^1+10x^3(-5)^2+10x^2(-5)^3+5x^1(-5)^4+1x^0(-5)^5=
x^5-25x^4+250x^3-1250
120 inches cubed (^3)
To find the volume of a rectangular prism, the formula is base area • height. We just have to solve this problem.
The two sides of the base 8 and 5. 8 • 5 = 40, so the area of the base = 40.
Then, the height is 3. 40 • 3 = 120, so the volume is 120 inches^3